Discrete derivatives and symmetries of difference equations
Exactly Solvable and Integrable Systems
2009-10-31 v1 Adaptation and Self-Organizing Systems
Abstract
We show on the example of the discrete heat equation that for any given discrete derivative we can construct a nontrivial Leibniz rule suitable to find the symmetries of discrete equations. In this way we obtain a symmetry Lie algebra, defined in terms of shift operators, isomorphic to that of the continuous heat equation.
Cite
@article{arxiv.nlin/0010044,
title = {Discrete derivatives and symmetries of difference equations},
author = {D. Levi and J. Negro and M. A. del Olmo},
journal= {arXiv preprint arXiv:nlin/0010044},
year = {2009}
}
Comments
submitted to J.Phys. A 10 Latex pages